Aperiodic Tiling
Aperiodic Tiling
复制标题
非周期性平铺
DOI：
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发表时间：
1998
影响因子：
1.8
通讯作者：
A. Glassner
中科院分区：
文献类型：
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作者：
A. Glassner
组装小单元最有趣的方法之一是沿着组成晶体的晶格之一。在本专栏中，我完全生活在2D世界中，因此水晶只是平面上的多边形集合。众所周知，只有三个规则多边形可以平铺平面。在这里，动词瓦片的意思是用一组多边形覆盖无限大的平面，使这些多边形之间没有缝隙或重叠。每个多边形称为平铺，复合图案称为平铺。
One of the most interesting ways of assembling small units is along one of the lattices that make up crystals. In this column I live entirely in a 2D world, so the crystals are nothing but collections of polygons in the plane. It is well known that there are only three regular polygons that can tile the plane. Here the verb tile means to cover the infinite plane with a set of polygons so that no gaps or overlaps exist among the polygons. Each polygon is called a tile and the composite pattern is called a tiling.